The Solution.
Step 1:
We shall state the formula for equation of a line.
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where m=slope=4} \\ (x_1,y_1)=(-2,8) \end{gathered}[/tex]Step 2:
We shall substitute the above values into the formula.
[tex]\begin{gathered} y-8=4(x--2) \\ y-8=4(x+2) \\ \text{Clearing the brackets, we get} \\ y-8=4x+8 \\ \text{Collecting the like terms},\text{ we get} \\ y=4x+8+8 \\ y=4x+16 \end{gathered}[/tex]Step 3:
Presentation of the Answer.
The correct answer is y = 4x + 16 (option B)